Given:
The equation is:
[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]
To find:
The value of y.
Solution:
We have,
[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]
On simplification, we get
[tex]192=6000\left(0.02\times 1.6-0.02\times 4y+0.08y\right)[/tex]
[tex]192=6000\left(0.032-0.08y+0.08y\right)[/tex]
[tex]192=6000\left(0.032\right)[/tex]
[tex]192=192[/tex]
Since LHS=RHS and the equation is free from the variable y, therefore the given equation is true for all real values of y.
Hence, all real values of y are solutions.
ABCD is a parallelogram. Find x and the length of CD.
Answer:
3×+9=5x-5
-2×=-14
×=7...thenCD=3(7)+9=30
HELP
WILL
GIVE BRAINLIST
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How long will it take $10,000 to double at 11% simple interest? (Round to the nearest year)
Answer:
[tex]I =\frac{P*R*T}{100} = \frac{10000 * 11 * T}{100} = 1100T[/tex]
Given A =20000
[tex]Amount = Interest + Principal\\20000 = 1100T + 10000\\20000 - 10000 = 1100T\\\\T= \frac{10000}{1100} = \frac{100}{11} = 9.09 years[/tex]
T =9years
What 3 dimensional solid will be formed by rotating the given figure around the given line of symmetry?
Answer:
option D)
Step-by-step explanation:
when a equilateral triangle is rotated about x-axis
rotating equilateral triangle about x-axis will lead to the formation of cone in.
the height of the equilateral triangle will represent height of the cone.
the base of the equilateral triangle will represent the circular base of the cone
and the slant height of the cone will represented by the sides.
hence, the correct answer will cone which is option D)
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You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?
Answer: 3¼ hours
Step-by-step explanation:
Number of hours used in baking = 2¾ hours
Number of hours used in cleaning up the kitchen = ½ hour
Therefore, the time used in the kitchen will be the addition of the time used in baking plus the time used in cleaning the kitchen which will be:
= 2¾ + ½
= 2 3/4 + 2/4
= 2 5/4
= 2 + 1¼
= 3¼ hours
Therefore, 3¼ hours was used in the kitchen.
16/4 + 56 – (3 + 4 - 1)
Answer:
54
Step-by-step explanation:
First solve for brackets then multiplication or division then addition or subtraction
Answer: 52.
Step-by-step explanation: I don't know if you know about PEMDAS, but it basically stands for (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction). So first, we would do Parenthesis. In the parenthesis, we have 3 + 4 - 1. Addition and Subtraction are the same, since they are inverse operations. We would start from left to right, so the addition goes first. 3 + 4 = 7. Now we are left with 7 - 1. 7 - 1 = 6. The equation so far is: 16/4 + 54 - 6. Next, we will do division. 16 ÷ 4 = 4. The equation so far is: 4 + 54 - 6. Now, we have to add 4 + 54 since we are doing it from left and right. 54 + 4 = 58. We are left with 58 - 6. 58 - 6 = 52. So your final answer is 52. Hope this helps!! :) **I tried my best**
What is the value of x in the solution to this system of equations?
5x+2y=67x=3y−7
Question 4 options:
6
18.5
24
11
Answer:
x = 11
Step-by-step explanation:
[tex]x-3y=-7[/tex]
[tex]5x=-2y+67[/tex]
=> [tex]x=\frac{1}{5}(-2y+67)[/tex]
=> [tex]x=-\frac{2}{5}y+\frac{67}{5}[/tex]
=> [tex]-\frac{2}{5}y+\frac{67}{5}-3y=-7[/tex]
=> [tex]-\frac{17}{5}y+\frac{67}{5} =-7[/tex]
=> [tex]\frac{-17}{5}y=-\frac{102}{5}[/tex]
=> y = 6
=> [tex]x=-\frac{2}{5} .6+\frac{67}{5}[/tex]
=> x = 11
Chloe breaks into the pantry after Albert goes to work. She finds and opens a family-pack of mixed nuts. After surfing the web, she finds that these packs claim to be 20% almond (A), 30% cashew (C), 10% macadamia (M), and 40% peanut. Chloe discovers that her bag contains 14 almonds, 28 cashews, 6 macadamias, and 52 peanuts.
a) Perform an appropriate test to determine whether this claim is true or not at a = 0.05. State all the relevant steps (listed in exercise 1).
b) What is the decision and conclusion (write a sentence) at a = 0.1?
c) Chloe is a choosy and sneaky doggie. She likes to find a p-value first and then come up with a significance level, a later so she can reject as many Hos as possible. Is her method acceptable?
Solution :
In this case we have to use [tex]$\text{chi square test}$[/tex] for the goodness of fit.
Null hypothesis is : [tex]$H_0 :$[/tex] Data follows the given distribution
Alternate hypothesis is : [tex]$H_a:$[/tex] Data do not follow the given distribution
The level of significance, [tex]$\alpha = 0.05$[/tex]
The test statistics is given by :
Chi square = [tex]$\sum\frac{(O-E)^2}{E}$[/tex]
Here O is the observed frequencies
E is the expected frequencies
So we have, N = number of the categories = 4
df = degrees o freedom = N - 1
= 4 - 1 = 3
Critical value = [tex]$7.814727764$[/tex]
Calculating the table for the test statistics are given as :
Category prop. O E [tex]$\frac{(O-E)^2}{E}$[/tex]
A 0.2 14 20 1.80
C 0.3 28 30 0.13
M 0.1 6 10 1.60
P 0.4 52 40 3.60
Total 1 100 100 7.13
The test statics = chi square = [tex]$\sum\frac{(O-E)^2}{E}$[/tex] = 7.13
[tex]$X^2$[/tex] statistics = 7.13
P-value = 0.067767248
P -value > [tex]$\alpha = 0.05$[/tex]
Therefore, we do not reject the [tex]$\text{null hypothesis}$[/tex]. There is sufficient evidence to conclude that the data follows the given distribution. So there is sufficient evidence to conclude the given claim is true.
PLEASE HELP!!!
Find the area of the regular polygon with the given apothem a and side length s.
pentagon, a = 12.4 cm, s = 18 cm
The area is
cm2
Answer:
496 cm²
Step-by-step explanation:
Area of polygon :
A = 1/2(p * a)
P = perimeter
a = apothem
Perimeter = 5s (pentagon)
s = side length = 18
P = 5 * 18 = 80 cm
a = 12.4
A = 1/2(80 * 12.4)
A = 1/2(992)
A = 496 cm²
What 68784 rounded to the nearest thousandth?
Answer: 6,9000
Step-by-step explanation:
brainlest for answered
Answer:
Hello! answer: 4/5
Step-by-step explanation:
20 ÷ 5 = 4 25 ÷ 5 = 5 that is 4/5 therefore 4/5 is the answer because we cannot reduce any further HOPE THAT HELPS!
Answer:
[tex]\frac{20}{25} =\frac{4}{5}[/tex]
Please Help if you can!! I also have more questions in my profile!
Answer:
(0, 9), (0, 0), (0, 1)
Step-by-step explanation:
Hope it helps you in your learning process.
Help!!!
What expression shows the relationship between the value of any term and n, its position in the sequence for the
given sequence?
-5, -8, -11, -14, -17, ...
A)
2n
B)
2n + 1
C)
n+3
D)
-3n - 2
Answer:
D) -3n - 2
Step-by-step explanation:
Hope this helps
Y-intercept = -4
• Slope = -1
2
y
10
9
8
2
6
5
4
3
2
-10
-9
-8
-7
-6
-5
- 4
-3
-2
-1
1
2
3
4
5
6
7
8
9
10
-1
2
-3
-4
-5
-6
-7
-8
-9
-10
Answer:
First point: -4 on y axis.
Second point: (2, -5)
Step-by-step explanation:
When graphing, we always set the equation as y=mx+b where m = slope and b = y intercept
y = mx + b
y = [tex]-\frac{1}{2}x-4[/tex]
Then we plot by starting with the y intercept going four units down, one unit below and two units to the right.
Find the value of x. Round the lengths to the nearest tenth of a unit.
Please help!
Answer:
the other angle equal 52
we can use the specail trangle 3 4 5
300 400 500
the 38 degrees angle meet 300
and the 52 degrees angle meet 400
so the answer is 300 i dont know if you understand but i hope you are
pls ask in the comments and i will try to explain because my ebgilish the baddest
Please help and thank you
what is 2476476263278x342234324
Answer:
8.4753518e+20
Step-by-step explanation:
I used calculator. You should've used a calculator too.
Ameer uses 1/4 of a bottle of shampoo to give each of his dogs a bath. He has 5 dogs all together. How many bottles of shampoo does Ameer need?
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
Answer:
4/ 7-4
Step-by-step explanation:
J.UIV1.2.2 DUN 2 formative Jackson, Braddyn OO 10 1 Abox, shaped like a rectangular prism, is shown below. 2 in. 8 in. 10 in. What is the surface area of the box? 232 square inches 160 square inches 116 square inches O 96 square inches ?
Answer:m
Step-by-step explanation:
The terminal side of in standard position contains the point (20, 21) . Find the exact values of the six trigonometric functions of? Please help
Answer:
27,29
Step-by-step explanation:
What is the lead coefficient of the polynomial below?
3x^2+ 8x + 5
Answer:
The lead coefficient is 8
Step-by-step explanation:
This is because it is the biggest number that is right before the x or that is the coefficient.
The leading coefficient of the polynomial is given by C = 3
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = 3x² + 8x + 5
On simplifying the equation , we get
The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the polynomial 3x² + 8x + 5 has a term with degree 2 (the x² term) and the coefficient of that term is 3
Hence , the lead coefficient of this polynomial is 3
To learn more about polynomial equations click :
https://brainly.com/question/13199883
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7m + 3mn
when m = 3 and n = -4
Answer:
-15
Step-by-step explanation:
When m=3 and n=-4
So, put the values
7(3)+3(3)(-4)
-> -15
Answer:
-15
Step-by-step explanation:
= 7(3) + 3(3)(-4)
= 21 + 3(3×-4)
= 21 + 3(-12)
= 21 + -36
= 21-36
= -15
Michelle has 3/5 pounds of sugar. She gave her neighbor some sugar. Now she has 1/2 pounds of sugar left. How much sugar did she give to her neighbor?
Answer: 1/10
Step-by-step explanation:
Answer:
1/10 pound
Step-by-step explanation:
If you set up the equation as 3/5 - 1/2, you'll have to give them a common denominator. Multiply 3/5 by 2 and multiply 1/2 by 5, and now you can rewrite this equation as 6/10 - 5/10. From here, just subtract and you'll get 1/10.
Need help anything would help at this point !!!? Extra points
Answer:
here,radius =2 in
now use formula pie (r)^2 where pie is 3.14
=pie *(r)^2
=3.14*(2in.)^2
=3.14*4in.^2
12.56in.^2
Step-by-step explanation:
The top rail of a boat is 4 ft out of the water. If the water rises 3 ft, how far out of
the water is the top rail of the boat?
Answer:
the correct answer is 1ft
Step-by-step explanation:
4ft-3ft
=1ft
Mindy is making a wood desk. Pour choices of wood and the cost for different lengths are shown in the table.
Type of Wood Cost per Length Length
$4.97 1 m
Maple $0.07 1 cm
Oak
$15.99 2 m
Walnut
$0.98 1 din
Which type of wood has the LEAST expensive price per unit length? (Note: 100 cm = 10dm = 1m)
O A Ash
OB Maple
Oc Oak
ОО
D. Walnut
Answer:
Step-by-step explanation:
A
How can you tell how many solutions a quadratic equation has by looking at its graph
Answer:
2
Step-by-step explanation:
A quadratic equation has two roots . If we wanna check it from the graph , then , the number of points on which it cuts x axis .
Jason has $6,700 in his bank account. He withdraws $1,900 from his bank account o pay for rent. Brett books a vacation 3-days later that costs $4,000. He withdraws $3,500 from his account and goes on a payment pay for the remainder
Answer:
thers no question
Step-by-step explanation:
A tank contains 40 gallons of a solution composed of water and bleach. At the start there are 4 gallons of bleach in the tank. A second solution containing half water and half bleach is added tothe tank at the rate of 4 gallons per minute. The solution is kept throughly mixed and drains from the tank at the rate of 4 gallons per minute.
(a) How much blcach is in the tank after t minutes?
(b) Will there be at least 14 gallons of bleach in the tank after 10 minutes?
(c) How much bleach will there be in the tank after a very long time has passed?
Answer:
a) x* e∧ t/10 = 20 *e∧ t/10 + 2
b) x = 14,2 gall. In 10 min. we get 14,2 gallons of bleach in the tank
c) After a very long time we will find 20 gallons of bleach in the tank
Step-by-step explanation:
The variation of bleach in water in the tank is Δ(x)t:
Δ(x)t = [Amount of x added to the tank - Amount of x drain out of the tank]*Δt
Now the amount of x added to the tank is:
Rate of adding* the concentration
Rate of adding = 4 gallons per minute
Concentration half and half ( water + bleach) = 0,5
Rate of draining = 4 gallons per minute
Concentration of draining: Unknown but can be expressed as:
x(t)/40. According to this
Δ(x)t = [4 * 0,5 - 4 * x(t)/40]*Δt
Dividing by Δt on both sides of the equation and tacking limits we get
dx/ dt = 2 - x / 10
dx/dt + x/10 =2
Multyiplying by e∧ t/10 on both sides
e∧ t/10* [ dx/dt + x/10 ] = 2 *e∧ t/10
To solve it, integrating the first member is
x* e∧ t/10 = 20 *e∧ t/10 + C
for initial condition t = 0
4 = 20 + C
C = -16
a) x* e∧ t/10 = 20 *e∧ t/10 - 16
b) in 10 minutes
x* e∧ t/10 = 20 *e∧ t/10 - 16
x *e = 20*e - 16
x = 20 - 16/e
x = 20 - 16/2,718
x = 20 - 5,88
x = 14,2 gallons.
c) After a very long time we will find 20 gallons of bleach in the tank